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Studies In Constructive Mathematics And Mathematical Logic


Studies In Constructive Mathematics And Mathematical Logic
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Studies In Constructive Mathematics And Mathematical Logic


Studies In Constructive Mathematics And Mathematical Logic
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Author : A. O. Slisenko
language : en
Publisher:
Release Date : 1971

Studies In Constructive Mathematics And Mathematical Logic written by A. O. Slisenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Constructive mathematics categories.




Studies In Constructive Mathematics And Mathematical Logic


Studies In Constructive Mathematics And Mathematical Logic
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Author : A. O. Slisenko
language : en
Publisher:
Release Date : 2014-01-15

Studies In Constructive Mathematics And Mathematical Logic written by A. O. Slisenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Studies In Constructive Mathematics And Mathematical Logic Part 2


Studies In Constructive Mathematics And Mathematical Logic Part 2
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Author : A. O. Slisenko
language : en
Publisher: Springer
Release Date : 2014-09-12

Studies In Constructive Mathematics And Mathematical Logic Part 2 written by A. O. Slisenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Science categories.




Studies In Constructive Mathematics And Mathematical Logic


Studies In Constructive Mathematics And Mathematical Logic
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Author : A. O. Slisenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Studies In Constructive Mathematics And Mathematical Logic written by A. O. Slisenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.


This volume contains a number of short papers reporting results presented to the Leningrad Seminar on Constructive Mathematics or to the Leningrad Seminar on Mathematical Logic. As a rule, the notes do not contain detailed proofs. Complete explanations will be printed in the Trudy (Transac tions) of the V.A. Steklov Mathematics Institute AN SSSR (in the "Problems of Constructive Direction in Mathematics" and the "Mathematical Logic and Logical Calculus" series). The papers published herein are primarily from the constructive direction in mathematics. A. Slisenko v CONTENTS 1 Method of Establishing Deducibility in Classical Predicate Calculus ... G.V. Davydov 5 On the Correction of Unprovable Formulas ... G.V. Davydov Lebesgue Integral in Constructive Analysis ... 9 O. Demuth Sufficient Conditions of Incompleteness for the Formalization of Parts of Arithmetic ... 15 N.K. Kosovskii Normal Formfor Deductions in Predicate Calculus with Equality and Functional Symbols. ... 21 V.A. Lifshits Some Reduction Classes and Undecidable Theories. ... . 24 ... V.A. Lifshits Deductive Validity and Reduction Classes. ... 26 ... V.A. Lifshits Problem of Decidability for Some Constructive Theories of Equalities. ... 29 . . V.A. Lifshits On Constructive Groups. ... . . 32 ... V.A. Lifshits Invertible Sequential Variant of Constructive Predicate Calculus. ... . 36 . S. Yu. Maslov Choice of Terms in Quantifier Rules of Constructive Predicate Calculus .. 43 G.E. Mints Analog of Herbrand's Theorem for Prenex Formulas of Constructive Predicate Calculus .. 47 G.E. Mints Variation in the Deduction Search Tactics in Sequential Calculus ... 52 ... G.E. Mints Imbedding Operations Associated with Kripke's "Semantics" ... 60 ...



Studies In Constructive Mathematics And Mathematical Logic


Studies In Constructive Mathematics And Mathematical Logic
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Author : Matematicheskiĭ institut im. V.A. Steklova. Leningradskoe otdelenie
language : en
Publisher:
Release Date : 1969

Studies In Constructive Mathematics And Mathematical Logic written by Matematicheskiĭ institut im. V.A. Steklova. Leningradskoe otdelenie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Logic, Symbolic and mathematical categories.




Studies In Constructive Mathematics And Mathematical Logic


Studies In Constructive Mathematics And Mathematical Logic
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Author : A. O. Slisenko
language : en
Publisher: Springer
Release Date : 2014-09-12

Studies In Constructive Mathematics And Mathematical Logic written by A. O. Slisenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Science categories.




Foundations Of Constructive Mathematics


Foundations Of Constructive Mathematics
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Author : M.J. Beeson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Foundations Of Constructive Mathematics written by M.J. Beeson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it - one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind.



Studies In Constructive Mathematics And Mathematical Logic


Studies In Constructive Mathematics And Mathematical Logic
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Author :
language : en
Publisher:
Release Date : 1969

Studies In Constructive Mathematics And Mathematical Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.




Handbook Of Constructive Mathematics


Handbook Of Constructive Mathematics
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Author : Douglas Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2023-03-31

Handbook Of Constructive Mathematics written by Douglas Bridges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with Mathematics categories.


Gives a complete overview of modern constructive mathematics and its applications through surveys by leading experts.



Objects Structures And Logics


Objects Structures And Logics
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Author : Gianluigi Oliveri
language : en
Publisher: Springer Nature
Release Date : 2022-03-08

Objects Structures And Logics written by Gianluigi Oliveri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-08 with Science categories.


This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.